Q: What are the factor combinations of the number 49,357,735?

 A:
Positive:   1 x 493577355 x 98715477 x 705110531 x 159218535 x 1410221155 x 318437217 x 2274551085 x 45491
Negative: -1 x -49357735-5 x -9871547-7 x -7051105-31 x -1592185-35 x -1410221-155 x -318437-217 x -227455-1085 x -45491


How do I find the factor combinations of the number 49,357,735?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 49,357,735, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 49,357,735
-1 -49,357,735

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 49,357,735.

Example:
1 x 49,357,735 = 49,357,735
and
-1 x -49,357,735 = 49,357,735
Notice both answers equal 49,357,735

With that explanation out of the way, let's continue. Next, we take the number 49,357,735 and divide it by 2:

49,357,735 ÷ 2 = 24,678,867.5

If the quotient is a whole number, then 2 and 24,678,867.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 49,357,735
-1 -49,357,735

Now, we try dividing 49,357,735 by 3:

49,357,735 ÷ 3 = 16,452,578.3333

If the quotient is a whole number, then 3 and 16,452,578.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 49,357,735
-1 -49,357,735

Let's try dividing by 4:

49,357,735 ÷ 4 = 12,339,433.75

If the quotient is a whole number, then 4 and 12,339,433.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 49,357,735
-1 49,357,735
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15731351552171,08545,491227,455318,4371,410,2211,592,1857,051,1059,871,54749,357,735
-1-5-7-31-35-155-217-1,085-45,491-227,455-318,437-1,410,221-1,592,185-7,051,105-9,871,547-49,357,735

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